When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
A. 10
B. 9
C. 8
D. 7
E. 5
[spoiler]OA=B[/spoiler]
Source: GMAT Paper Tests
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When 2/3 of the garments in the shipment were inspected
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Gmat_mission
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Vincen
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Hello Gmat_mission.
So, the total is given by $$T = \frac{20}{\frac{2}{3}}=30.$$ On the other hand, we want 90% of the garments in the shipment to pass the inspection. Now, 90% of the total is $$90\%\cdot T = 0.9\cdot 30 = 27.$$ So far, 18 garments have passed the inspection, so we need 9 more to pass.
So, the correct answer is the option _B_.
Regards.
This implies that 20 garments represent 2/3 of the total.When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed.
So, the total is given by $$T = \frac{20}{\frac{2}{3}}=30.$$ On the other hand, we want 90% of the garments in the shipment to pass the inspection. Now, 90% of the total is $$90\%\cdot T = 0.9\cdot 30 = 27.$$ So far, 18 garments have passed the inspection, so we need 9 more to pass.
So, the correct answer is the option _B_.
Regards.
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Scott@TargetTestPrep
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We can let n = the total number of garments; thus:Gmat_mission wrote:When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
A. 10
B. 9
C. 8
D. 7
E. 5
[spoiler]OA=B[/spoiler]
Source: GMAT Paper Tests
2n/3 = 20
2n = 60
n = 30
90% of the 30 garments is 30 * 0.9 = 27. Thus, 27 - 18 = 9 more garments must pass the inspection to hit a 90% pass ratio.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
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Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
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- Followed by:29 members
Gmat_mission wrote:When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
A. 10
B. 9
C. 8
D. 7
E. 5
[spoiler]OA=B[/spoiler]
Source: GMAT Paper Tests
We can let n = the total number of garments; thus:
2n/3 = 20
2n = 60
n = 30
90% of the 30 garments is 30 * 0.9 = 27. Thus, 27 - 18 = 9 more garments must pass the inspection to hit a 90% pass ratio.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
